27 #include "../common/MatrixUtils.h"
34 #include <boost/numeric/ublas/matrix.hpp>
46 static std::string name(
"SecondDegreePolynomial" );
57 const double& pt1Y,
double& pt2X,
double& pt2Y )
const
59 assert( isValid( params ) );
79 const double& pt2Y,
double& pt1X,
double& pt1Y )
const
81 assert( isValid( params ) );
122 const unsigned int tiepointsSize = params.
m_tiePoints.size();
123 if( tiepointsSize < getMinRequiredTiePoints() )
return false;
125 boost::numeric::ublas::matrix< double > W( tiepointsSize, 6 );
126 boost::numeric::ublas::matrix< double > WI( tiepointsSize, 6 );
127 boost::numeric::ublas::matrix< double > X( tiepointsSize, 1 );
128 boost::numeric::ublas::matrix< double > XI( tiepointsSize, 1 );
129 boost::numeric::ublas::matrix< double > Y( tiepointsSize, 1 );
130 boost::numeric::ublas::matrix< double > YI( tiepointsSize, 1 );
132 for (
unsigned int tpIdx = 0 ; tpIdx < tiepointsSize ; ++tpIdx )
137 W( tpIdx, 1 ) = pt1.
x;
138 W( tpIdx, 2 ) = pt1.
y;
139 W( tpIdx, 3 ) = pt1.
x * pt1.
y;
140 W( tpIdx, 4 ) = pt1.
x * pt1.
x;
141 W( tpIdx, 5 ) = pt1.
y * pt1.
y;
146 WI( tpIdx, 1 ) = pt2.
x;
147 WI( tpIdx, 2 ) = pt2.
y;
148 WI( tpIdx, 3 ) = pt2.
x * pt2.
y;
149 WI( tpIdx, 4 ) = pt2.
x * pt2.
x;
150 WI( tpIdx, 5 ) = pt2.
y * pt2.
y;
152 X( tpIdx, 0 ) = pt2.
x;
154 XI( tpIdx, 0 ) = pt1.
x;
156 Y( tpIdx, 0 ) = pt2.
y;
158 YI( tpIdx, 0 ) = pt1.
y;
163 boost::numeric::ublas::matrix< double > PinvW;
166 boost::numeric::ublas::matrix< double > PinvWI;
169 boost::numeric::ublas::matrix< double >
A( boost::numeric::ublas::prod( PinvW, X ) );
171 boost::numeric::ublas::matrix< double > AI( boost::numeric::ublas::prod( PinvWI, XI ) );
173 boost::numeric::ublas::matrix< double > B( boost::numeric::ublas::prod( PinvW, Y ) );
175 boost::numeric::ublas::matrix< double > BI( boost::numeric::ublas::prod( PinvWI, YI ) );
Second Degree Polynomial Geometric transformation.
std::vector< TiePoint > m_tiePoints
Tie points.
const std::string & getName() const
Returns the current transformation name.
Second Degree Polynomial Geometric transformation.
std::vector< double > m_directParameters
Transformation numeric direct parameters.
SecondDegreePolynomialGT()
Default constructor.
An utility struct for representing 2D coordinates.
bool GetPseudoInverseMatrix(const boost::numeric::ublas::matrix< T > &inputMatrix, boost::numeric::ublas::matrix< T > &outputMatrix)
Pseudo matrix inversion.
~SecondDegreePolynomialGT()
Destructor.
bool computeParameters(GTParameters ¶ms) const
Calculate the transformation parameters following the new supplied tie-points.
void inverseMap(const GTParameters ¶ms, const double &pt2X, const double &pt2Y, double &pt1X, double &pt1Y) const
Inverse mapping (from pt2 space into pt1 space).
std::vector< double > m_inverseParameters
Transformation numeric inverse parameters.
2D Geometric transformation parameters.
unsigned int getMinRequiredTiePoints() const
Returns the minimum number of required tie-points for the current transformation. ...
GeometricTransformation * clone() const
Creat a clone copy of this instance.
void directMap(const GTParameters ¶ms, const double &pt1X, const double &pt1Y, double &pt2X, double &pt2Y) const
Direct mapping (from pt1 space into pt2 space).